The drift velocity of electrons for a conductor connected in an electrical circuit is . [2023]

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Solution

Q.
The drift velocity of electrons for a conductor connected in an electrical circuit is $V_{d}$ . The conductor is now replaced by another conductor with the same material and the same length but double the area of cross-section. The applied voltage remains the same. The new drift velocity of electrons will be [2023]

1 $V_{d}$

2 $\frac{V_{d}}{2}$

3 $\frac{V_{d}}{4}$

4 $2 V_{d}$

Ans.
(1)

$i = n A V_{d} e$

$i_{1} = (\frac{V}{R}) and i_{2} = (\frac{2 V}{R})$

$So, \frac{i_{1}}{i_{2}} = \frac{1}{2} = \frac{{(A V_{d})}_{1}}{{(A V_{d})}_{2}} = \frac{V_{d}}{{(V_{d})}_{2}} \times (\frac{1}{2})$

$\frac{1}{2} \times \frac{V_{d}}{{(V_{d})}_{2}} = \frac{1}{2} \Rightarrow {(V_{d})}_{2} = V_{d}$

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